What is the Greatest Common Factor of 61664 and 61674?

Greatest common factor (GCF) of 61664 and 61674 is 2.

GCF(61664,61674) = 2

We will now calculate the prime factors of 61664 and 61674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61664 and 61674.

How to find the GCF of 61664 and 61674?

We will first find the prime factorization of 61664 and 61674. After we will calculate the factors of 61664 and 61674 and find the biggest common factor number .

Step-1: Prime Factorization of 61664

Prime factors of 61664 are 2, 41, 47. Prime factorization of 61664 in exponential form is:

61664 = 2⁵ × 41¹ × 47¹

Step-2: Prime Factorization of 61674

Prime factors of 61674 are 2, 3, 19, 541. Prime factorization of 61674 in exponential form is:

61674 = 2¹ × 3¹ × 19¹ × 541¹

Step-3: Factors of 61664

List of positive integer factors of 61664 that divides 61664 without a remainder.

1, 2, 4, 8, 16, 32, 41, 47, 82, 94, 164, 188, 328, 376, 656, 752, 1312, 1504, 1927, 3854, 7708, 15416, 30832

Step-4: Factors of 61674

List of positive integer factors of 61674 that divides 61664 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 541, 1082, 1623, 3246, 10279, 20558, 30837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61664 and 61674. The biggest common factor number is the GCF number.
So the greatest common factor 61664 and 61674 is 2.

Also check out the Least Common Multiple of 61664 and 61674