What is the Greatest Common Factor of 70653 and 70662?

Greatest common factor (GCF) of 70653 and 70662 is 3.

GCF(70653,70662) = 3

We will now calculate the prime factors of 70653 and 70662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70653 and 70662.

How to find the GCF of 70653 and 70662?

We will first find the prime factorization of 70653 and 70662. After we will calculate the factors of 70653 and 70662 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70662

Prime factors of 70662 are 2, 3, 11777. Prime factorization of 70662 in exponential form is:

70662 = 2¹ × 3¹ × 11777¹

Step-3: Factors of 70653

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

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

Step-4: Factors of 70662

List of positive integer factors of 70662 that divides 70653 without a remainder.

1, 2, 3, 6, 11777, 23554, 35331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70653 and 70662. The biggest common factor number is the GCF number.
So the greatest common factor 70653 and 70662 is 3.

Also check out the Least Common Multiple of 70653 and 70662