What is the Greatest Common Factor of 69125 and 69132?

Greatest common factor (GCF) of 69125 and 69132 is 7.

GCF(69125,69132) = 7

We will now calculate the prime factors of 69125 and 69132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69125 and 69132.

How to find the GCF of 69125 and 69132?

We will first find the prime factorization of 69125 and 69132. After we will calculate the factors of 69125 and 69132 and find the biggest common factor number .

Step-1: Prime Factorization of 69125

Prime factors of 69125 are 5, 7, 79. Prime factorization of 69125 in exponential form is:

69125 = 5³ × 7¹ × 79¹

Step-2: Prime Factorization of 69132

Prime factors of 69132 are 2, 3, 7, 823. Prime factorization of 69132 in exponential form is:

69132 = 2² × 3¹ × 7¹ × 823¹

Step-3: Factors of 69125

List of positive integer factors of 69125 that divides 69125 without a remainder.

1, 5, 7, 25, 35, 79, 125, 175, 395, 553, 875, 1975, 2765, 9875, 13825

Step-4: Factors of 69132

List of positive integer factors of 69132 that divides 69125 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 823, 1646, 2469, 3292, 4938, 5761, 9876, 11522, 17283, 23044, 34566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69125 and 69132. The biggest common factor number is the GCF number.
So the greatest common factor 69125 and 69132 is 7.

Also check out the Least Common Multiple of 69125 and 69132