What is the Greatest Common Factor of 67564 and 67574?

Greatest common factor (GCF) of 67564 and 67574 is 2.

GCF(67564,67574) = 2

We will now calculate the prime factors of 67564 and 67574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67564 and 67574.

How to find the GCF of 67564 and 67574?

We will first find the prime factorization of 67564 and 67574. After we will calculate the factors of 67564 and 67574 and find the biggest common factor number .

Step-1: Prime Factorization of 67564

Prime factors of 67564 are 2, 7, 19, 127. Prime factorization of 67564 in exponential form is:

67564 = 2² × 7¹ × 19¹ × 127¹

Step-2: Prime Factorization of 67574

Prime factors of 67574 are 2, 13, 23, 113. Prime factorization of 67574 in exponential form is:

67574 = 2¹ × 13¹ × 23¹ × 113¹

Step-3: Factors of 67564

List of positive integer factors of 67564 that divides 67564 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 127, 133, 254, 266, 508, 532, 889, 1778, 2413, 3556, 4826, 9652, 16891, 33782

Step-4: Factors of 67574

List of positive integer factors of 67574 that divides 67564 without a remainder.

1, 2, 13, 23, 26, 46, 113, 226, 299, 598, 1469, 2599, 2938, 5198, 33787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67564 and 67574. The biggest common factor number is the GCF number.
So the greatest common factor 67564 and 67574 is 2.

Also check out the Least Common Multiple of 67564 and 67574