What is the Greatest Common Factor of 87122 and 87129?

Greatest common factor (GCF) of 87122 and 87129 is 7.

GCF(87122,87129) = 7

We will now calculate the prime factors of 87122 and 87129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87122 and 87129.

How to find the GCF of 87122 and 87129?

We will first find the prime factorization of 87122 and 87129. After we will calculate the factors of 87122 and 87129 and find the biggest common factor number .

Step-1: Prime Factorization of 87122

Prime factors of 87122 are 2, 7, 127. Prime factorization of 87122 in exponential form is:

87122 = 2¹ × 7³ × 127¹

Step-2: Prime Factorization of 87129

Prime factors of 87129 are 3, 7, 461. Prime factorization of 87129 in exponential form is:

87129 = 3³ × 7¹ × 461¹

Step-3: Factors of 87122

List of positive integer factors of 87122 that divides 87122 without a remainder.

1, 2, 7, 14, 49, 98, 127, 254, 343, 686, 889, 1778, 6223, 12446, 43561

Step-4: Factors of 87129

List of positive integer factors of 87129 that divides 87122 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 461, 1383, 3227, 4149, 9681, 12447, 29043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87122 and 87129. The biggest common factor number is the GCF number.
So the greatest common factor 87122 and 87129 is 7.

Also check out the Least Common Multiple of 87122 and 87129