What is the Greatest Common Factor of 35672 and 35688?

Greatest common factor (GCF) of 35672 and 35688 is 8.

GCF(35672,35688) = 8

We will now calculate the prime factors of 35672 and 35688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35672 and 35688.

How to find the GCF of 35672 and 35688?

We will first find the prime factorization of 35672 and 35688. After we will calculate the factors of 35672 and 35688 and find the biggest common factor number .

Step-1: Prime Factorization of 35672

Prime factors of 35672 are 2, 7, 13. Prime factorization of 35672 in exponential form is:

35672 = 2³ × 7³ × 13¹

Step-2: Prime Factorization of 35688

Prime factors of 35688 are 2, 3, 1487. Prime factorization of 35688 in exponential form is:

35688 = 2³ × 3¹ × 1487¹

Step-3: Factors of 35672

List of positive integer factors of 35672 that divides 35672 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 343, 364, 392, 637, 686, 728, 1274, 1372, 2548, 2744, 4459, 5096, 8918, 17836

Step-4: Factors of 35688

List of positive integer factors of 35688 that divides 35672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1487, 2974, 4461, 5948, 8922, 11896, 17844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35672 and 35688. The biggest common factor number is the GCF number.
So the greatest common factor 35672 and 35688 is 8.

Also check out the Least Common Multiple of 35672 and 35688