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What is the Greatest Common Factor of 68 and 76?

Greatest common factor (GCF) of 68 and 76 is 4.

GCF(68,76) = 4

We will now calculate the prime factors of 68 and 76, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68 and 76.

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How to find the GCF of 68 and 76?

We will first find the prime factorization of 68 and 76. After we will calculate the factors of 68 and 76 and find the biggest common factor number .

Step-1: Prime Factorization of 68

Prime factors of 68 are 2, 17. Prime factorization of 68 in exponential form is:

68 = 22 × 171

Step-2: Prime Factorization of 76

Prime factors of 76 are 2, 19. Prime factorization of 76 in exponential form is:

76 = 22 × 191

Step-3: Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34

Step-4: Factors of 76

List of positive integer factors of 76 that divides 68 without a remainder.

1, 2, 4, 19, 38

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68 and 76. The biggest common factor number is the GCF number.
So the greatest common factor 68 and 76 is 4.

Also check out the Least Common Multiple of 68 and 76

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