What is the Greatest Common Factor of 92475 and 92480?

Greatest common factor (GCF) of 92475 and 92480 is 5.

GCF(92475,92480) = 5

We will now calculate the prime factors of 92475 and 92480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92475 and 92480.

How to find the GCF of 92475 and 92480?

We will first find the prime factorization of 92475 and 92480. After we will calculate the factors of 92475 and 92480 and find the biggest common factor number .

Step-1: Prime Factorization of 92475

Prime factors of 92475 are 3, 5, 137. Prime factorization of 92475 in exponential form is:

92475 = 3³ × 5² × 137¹

Step-2: Prime Factorization of 92480

Prime factors of 92480 are 2, 5, 17. Prime factorization of 92480 in exponential form is:

92480 = 2⁶ × 5¹ × 17²

Step-3: Factors of 92475

List of positive integer factors of 92475 that divides 92475 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 137, 225, 411, 675, 685, 1233, 2055, 3425, 3699, 6165, 10275, 18495, 30825

Step-4: Factors of 92480

List of positive integer factors of 92480 that divides 92475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 289, 320, 340, 544, 578, 680, 1088, 1156, 1360, 1445, 2312, 2720, 2890, 4624, 5440, 5780, 9248, 11560, 18496, 23120, 46240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92475 and 92480. The biggest common factor number is the GCF number.
So the greatest common factor 92475 and 92480 is 5.

Also check out the Least Common Multiple of 92475 and 92480