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What is the Greatest Common Factor of 66496 and 66502?

Greatest common factor (GCF) of 66496 and 66502 is 2.

GCF(66496,66502) = 2

We will now calculate the prime factors of 66496 and 66502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66496 and 66502.

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How to find the GCF of 66496 and 66502?

We will first find the prime factorization of 66496 and 66502. After we will calculate the factors of 66496 and 66502 and find the biggest common factor number .

Step-1: Prime Factorization of 66496

Prime factors of 66496 are 2, 1039. Prime factorization of 66496 in exponential form is:

66496 = 26 × 10391

Step-2: Prime Factorization of 66502

Prime factors of 66502 are 2, 41, 811. Prime factorization of 66502 in exponential form is:

66502 = 21 × 411 × 8111

Step-3: Factors of 66496

List of positive integer factors of 66496 that divides 66496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1039, 2078, 4156, 8312, 16624, 33248

Step-4: Factors of 66502

List of positive integer factors of 66502 that divides 66496 without a remainder.

1, 2, 41, 82, 811, 1622, 33251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66496 and 66502. The biggest common factor number is the GCF number.
So the greatest common factor 66496 and 66502 is 2.

Also check out the Least Common Multiple of 66496 and 66502