What is the Greatest Common Factor of 87058 and 87072?

Greatest common factor (GCF) of 87058 and 87072 is 2.

GCF(87058,87072) = 2

We will now calculate the prime factors of 87058 and 87072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87058 and 87072.

How to find the GCF of 87058 and 87072?

We will first find the prime factorization of 87058 and 87072. After we will calculate the factors of 87058 and 87072 and find the biggest common factor number .

Step-1: Prime Factorization of 87058

Prime factors of 87058 are 2, 19, 29, 79. Prime factorization of 87058 in exponential form is:

87058 = 2¹ × 19¹ × 29¹ × 79¹

Step-2: Prime Factorization of 87072

Prime factors of 87072 are 2, 3, 907. Prime factorization of 87072 in exponential form is:

87072 = 2⁵ × 3¹ × 907¹

Step-3: Factors of 87058

List of positive integer factors of 87058 that divides 87058 without a remainder.

1, 2, 19, 29, 38, 58, 79, 158, 551, 1102, 1501, 2291, 3002, 4582, 43529

Step-4: Factors of 87072

List of positive integer factors of 87072 that divides 87058 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87058 and 87072. The biggest common factor number is the GCF number.
So the greatest common factor 87058 and 87072 is 2.

Also check out the Least Common Multiple of 87058 and 87072