What is the Greatest Common Factor of 55664 and 55674?

Greatest common factor (GCF) of 55664 and 55674 is 2.

GCF(55664,55674) = 2

We will now calculate the prime factors of 55664 and 55674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55664 and 55674.

How to find the GCF of 55664 and 55674?

We will first find the prime factorization of 55664 and 55674. After we will calculate the factors of 55664 and 55674 and find the biggest common factor number .

Step-1: Prime Factorization of 55664

Prime factors of 55664 are 2, 7, 71. Prime factorization of 55664 in exponential form is:

55664 = 2⁴ × 7² × 71¹

Step-2: Prime Factorization of 55674

Prime factors of 55674 are 2, 3, 1031. Prime factorization of 55674 in exponential form is:

55674 = 2¹ × 3³ × 1031¹

Step-3: Factors of 55664

List of positive integer factors of 55664 that divides 55664 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 71, 98, 112, 142, 196, 284, 392, 497, 568, 784, 994, 1136, 1988, 3479, 3976, 6958, 7952, 13916, 27832

Step-4: Factors of 55674

List of positive integer factors of 55674 that divides 55664 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1031, 2062, 3093, 6186, 9279, 18558, 27837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55664 and 55674. The biggest common factor number is the GCF number.
So the greatest common factor 55664 and 55674 is 2.

Also check out the Least Common Multiple of 55664 and 55674