What is the Greatest Common Factor of 87101 and 87120?

Greatest common factor (GCF) of 87101 and 87120 is 1.

GCF(87101,87120) = 1

We will now calculate the prime factors of 87101 and 87120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87101 and 87120.

How to find the GCF of 87101 and 87120?

We will first find the prime factorization of 87101 and 87120. After we will calculate the factors of 87101 and 87120 and find the biggest common factor number .

Step-1: Prime Factorization of 87101

Prime factors of 87101 are 7, 23, 541. Prime factorization of 87101 in exponential form is:

87101 = 7¹ × 23¹ × 541¹

Step-2: Prime Factorization of 87120

Prime factors of 87120 are 2, 3, 5, 11. Prime factorization of 87120 in exponential form is:

87120 = 2⁴ × 3² × 5¹ × 11²

Step-3: Factors of 87101

List of positive integer factors of 87101 that divides 87101 without a remainder.

1, 7, 23, 161, 541, 3787, 12443

Step-4: Factors of 87120

List of positive integer factors of 87120 that divides 87101 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 121, 132, 144, 165, 176, 180, 198, 220, 240, 242, 264, 330, 360, 363, 396, 440, 484, 495, 528, 605, 660, 720, 726, 792, 880, 968, 990, 1089, 1210, 1320, 1452, 1584, 1815, 1936, 1980, 2178, 2420, 2640, 2904, 3630, 3960, 4356, 4840, 5445, 5808, 7260, 7920, 8712, 9680, 10890, 14520, 17424, 21780, 29040, 43560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87101 and 87120. The biggest common factor number is the GCF number.
So the greatest common factor 87101 and 87120 is 1.

Also check out the Least Common Multiple of 87101 and 87120