What is the Greatest Common Factor of 70635 and 70653?

Greatest common factor (GCF) of 70635 and 70653 is 3.

GCF(70635,70653) = 3

We will now calculate the prime factors of 70635 and 70653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70635 and 70653.

How to find the GCF of 70635 and 70653?

We will first find the prime factorization of 70635 and 70653. After we will calculate the factors of 70635 and 70653 and find the biggest common factor number .

Step-1: Prime Factorization of 70635

Prime factors of 70635 are 3, 5, 17, 277. Prime factorization of 70635 in exponential form is:

70635 = 3¹ × 5¹ × 17¹ × 277¹

Step-2: Prime Factorization of 70653

Prime factors of 70653 are 3, 11, 2141. Prime factorization of 70653 in exponential form is:

70653 = 3¹ × 11¹ × 2141¹

Step-3: Factors of 70635

List of positive integer factors of 70635 that divides 70635 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 277, 831, 1385, 4155, 4709, 14127, 23545

Step-4: Factors of 70653

List of positive integer factors of 70653 that divides 70635 without a remainder.

1, 3, 11, 33, 2141, 6423, 23551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70635 and 70653. The biggest common factor number is the GCF number.
So the greatest common factor 70635 and 70653 is 3.

Also check out the Least Common Multiple of 70635 and 70653