What is the Greatest Common Factor of 92472 and 92480?

Greatest common factor (GCF) of 92472 and 92480 is 8.

GCF(92472,92480) = 8

We will now calculate the prime factors of 92472 and 92480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92472 and 92480.

How to find the GCF of 92472 and 92480?

We will first find the prime factorization of 92472 and 92480. After we will calculate the factors of 92472 and 92480 and find the biggest common factor number .

Step-1: Prime Factorization of 92472

Prime factors of 92472 are 2, 3, 3853. Prime factorization of 92472 in exponential form is:

92472 = 2³ × 3¹ × 3853¹

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 92472

List of positive integer factors of 92472 that divides 92472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3853, 7706, 11559, 15412, 23118, 30824, 46236

Step-4: Factors of 92480

List of positive integer factors of 92480 that divides 92472 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 92472 and 92480. The biggest common factor number is the GCF number.
So the greatest common factor 92472 and 92480 is 8.

Also check out the Least Common Multiple of 92472 and 92480