What is the Greatest Common Factor of 6496 and 6502?

Greatest common factor (GCF) of 6496 and 6502 is 2.

GCF(6496,6502) = 2

We will now calculate the prime factors of 6496 and 6502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6496 and 6502.

How to find the GCF of 6496 and 6502?

We will first find the prime factorization of 6496 and 6502. After we will calculate the factors of 6496 and 6502 and find the biggest common factor number .

Step-1: Prime Factorization of 6496

Prime factors of 6496 are 2, 7, 29. Prime factorization of 6496 in exponential form is:

6496 = 2⁵ × 7¹ × 29¹

Step-2: Prime Factorization of 6502

Prime factors of 6502 are 2, 3251. Prime factorization of 6502 in exponential form is:

6502 = 2¹ × 3251¹

Step-3: Factors of 6496

List of positive integer factors of 6496 that divides 6496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248

Step-4: Factors of 6502

List of positive integer factors of 6502 that divides 6496 without a remainder.

1, 2, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6496 and 6502. The biggest common factor number is the GCF number.
So the greatest common factor 6496 and 6502 is 2.

Also check out the Least Common Multiple of 6496 and 6502