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What is the Greatest Common Factor of 67531 and 67548?

Greatest common factor (GCF) of 67531 and 67548 is 1.

GCF(67531,67548) = 1

We will now calculate the prime factors of 67531 and 67548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67531 and 67548.

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How to find the GCF of 67531 and 67548?

We will first find the prime factorization of 67531 and 67548. After we will calculate the factors of 67531 and 67548 and find the biggest common factor number .

Step-1: Prime Factorization of 67531

Prime factors of 67531 are 67531. Prime factorization of 67531 in exponential form is:

67531 = 675311

Step-2: Prime Factorization of 67548

Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:

67548 = 22 × 31 × 131 × 4331

Step-3: Factors of 67531

List of positive integer factors of 67531 that divides 67531 without a remainder.

1

Step-4: Factors of 67548

List of positive integer factors of 67548 that divides 67531 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732, 2598, 5196, 5629, 11258, 16887, 22516, 33774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67531 and 67548. The biggest common factor number is the GCF number.
So the greatest common factor 67531 and 67548 is 1.

Also check out the Least Common Multiple of 67531 and 67548