What is the Greatest Common Factor of 62492 and 62496?

Greatest common factor (GCF) of 62492 and 62496 is 4.

GCF(62492,62496) = 4

We will now calculate the prime factors of 62492 and 62496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62492 and 62496.

How to find the GCF of 62492 and 62496?

We will first find the prime factorization of 62492 and 62496. After we will calculate the factors of 62492 and 62496 and find the biggest common factor number .

Step-1: Prime Factorization of 62492

Prime factors of 62492 are 2, 17, 919. Prime factorization of 62492 in exponential form is:

62492 = 2² × 17¹ × 919¹

Step-2: Prime Factorization of 62496

Prime factors of 62496 are 2, 3, 7, 31. Prime factorization of 62496 in exponential form is:

62496 = 2⁵ × 3² × 7¹ × 31¹

Step-3: Factors of 62492

List of positive integer factors of 62492 that divides 62492 without a remainder.

1, 2, 4, 17, 34, 68, 919, 1838, 3676, 15623, 31246

Step-4: Factors of 62496

List of positive integer factors of 62496 that divides 62492 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31, 32, 36, 42, 48, 56, 62, 63, 72, 84, 93, 96, 112, 124, 126, 144, 168, 186, 217, 224, 248, 252, 279, 288, 336, 372, 434, 496, 504, 558, 651, 672, 744, 868, 992, 1008, 1116, 1302, 1488, 1736, 1953, 2016, 2232, 2604, 2976, 3472, 3906, 4464, 5208, 6944, 7812, 8928, 10416, 15624, 20832, 31248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62492 and 62496. The biggest common factor number is the GCF number.
So the greatest common factor 62492 and 62496 is 4.

Also check out the Least Common Multiple of 62492 and 62496