What is the Greatest Common Factor of 35658 and 35672?

Greatest common factor (GCF) of 35658 and 35672 is 14.

GCF(35658,35672) = 14

We will now calculate the prime factors of 35658 and 35672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35658 and 35672.

How to find the GCF of 35658 and 35672?

We will first find the prime factorization of 35658 and 35672. After we will calculate the factors of 35658 and 35672 and find the biggest common factor number .

Step-1: Prime Factorization of 35658

Prime factors of 35658 are 2, 3, 7, 283. Prime factorization of 35658 in exponential form is:

35658 = 2¹ × 3² × 7¹ × 283¹

Step-2: 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-3: Factors of 35658

List of positive integer factors of 35658 that divides 35658 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 283, 566, 849, 1698, 1981, 2547, 3962, 5094, 5943, 11886, 17829

Step-4: Factors of 35672

List of positive integer factors of 35672 that divides 35658 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35658 and 35672. The biggest common factor number is the GCF number.
So the greatest common factor 35658 and 35672 is 14.

Also check out the Least Common Multiple of 35658 and 35672