What is the Greatest Common Factor of 92460 and 92480?

Greatest common factor (GCF) of 92460 and 92480 is 20.

GCF(92460,92480) = 20

We will now calculate the prime factors of 92460 and 92480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92460 and 92480.

How to find the GCF of 92460 and 92480?

We will first find the prime factorization of 92460 and 92480. After we will calculate the factors of 92460 and 92480 and find the biggest common factor number .

Step-1: Prime Factorization of 92460

Prime factors of 92460 are 2, 3, 5, 23, 67. Prime factorization of 92460 in exponential form is:

92460 = 2² × 3¹ × 5¹ × 23¹ × 67¹

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 92460

List of positive integer factors of 92460 that divides 92460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 67, 69, 92, 115, 134, 138, 201, 230, 268, 276, 335, 345, 402, 460, 670, 690, 804, 1005, 1340, 1380, 1541, 2010, 3082, 4020, 4623, 6164, 7705, 9246, 15410, 18492, 23115, 30820, 46230

Step-4: Factors of 92480

List of positive integer factors of 92480 that divides 92460 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 92460 and 92480. The biggest common factor number is the GCF number.
So the greatest common factor 92460 and 92480 is 20.

Also check out the Least Common Multiple of 92460 and 92480