What is the Greatest Common Factor of 35610 and 35628?

Greatest common factor (GCF) of 35610 and 35628 is 6.

GCF(35610,35628) = 6

We will now calculate the prime factors of 35610 and 35628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35610 and 35628.

How to find the GCF of 35610 and 35628?

We will first find the prime factorization of 35610 and 35628. After we will calculate the factors of 35610 and 35628 and find the biggest common factor number .

Step-1: Prime Factorization of 35610

Prime factors of 35610 are 2, 3, 5, 1187. Prime factorization of 35610 in exponential form is:

35610 = 2¹ × 3¹ × 5¹ × 1187¹

Step-2: Prime Factorization of 35628

Prime factors of 35628 are 2, 3, 2969. Prime factorization of 35628 in exponential form is:

35628 = 2² × 3¹ × 2969¹

Step-3: Factors of 35610

List of positive integer factors of 35610 that divides 35610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1187, 2374, 3561, 5935, 7122, 11870, 17805

Step-4: Factors of 35628

List of positive integer factors of 35628 that divides 35610 without a remainder.

1, 2, 3, 4, 6, 12, 2969, 5938, 8907, 11876, 17814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35610 and 35628. The biggest common factor number is the GCF number.
So the greatest common factor 35610 and 35628 is 6.

Also check out the Least Common Multiple of 35610 and 35628