What is the Greatest Common Factor of 27664 and 27670?

Greatest common factor (GCF) of 27664 and 27670 is 2.

GCF(27664,27670) = 2

We will now calculate the prime factors of 27664 and 27670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27664 and 27670.

How to find the GCF of 27664 and 27670?

We will first find the prime factorization of 27664 and 27670. After we will calculate the factors of 27664 and 27670 and find the biggest common factor number .

Step-1: Prime Factorization of 27664

Prime factors of 27664 are 2, 7, 13, 19. Prime factorization of 27664 in exponential form is:

27664 = 2⁴ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 27670

Prime factors of 27670 are 2, 5, 2767. Prime factorization of 27670 in exponential form is:

27670 = 2¹ × 5¹ × 2767¹

Step-3: Factors of 27664

List of positive integer factors of 27664 that divides 27664 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 38, 52, 56, 76, 91, 104, 112, 133, 152, 182, 208, 247, 266, 304, 364, 494, 532, 728, 988, 1064, 1456, 1729, 1976, 2128, 3458, 3952, 6916, 13832

Step-4: Factors of 27670

List of positive integer factors of 27670 that divides 27664 without a remainder.

1, 2, 5, 10, 2767, 5534, 13835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27664 and 27670. The biggest common factor number is the GCF number.
So the greatest common factor 27664 and 27670 is 2.

Also check out the Least Common Multiple of 27664 and 27670