What is the Greatest Common Factor of 70665 and 70672?

Greatest common factor (GCF) of 70665 and 70672 is 7.

GCF(70665,70672) = 7

We will now calculate the prime factors of 70665 and 70672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70665 and 70672.

How to find the GCF of 70665 and 70672?

We will first find the prime factorization of 70665 and 70672. After we will calculate the factors of 70665 and 70672 and find the biggest common factor number .

Step-1: Prime Factorization of 70665

Prime factors of 70665 are 3, 5, 7, 673. Prime factorization of 70665 in exponential form is:

70665 = 3¹ × 5¹ × 7¹ × 673¹

Step-2: Prime Factorization of 70672

Prime factors of 70672 are 2, 7, 631. Prime factorization of 70672 in exponential form is:

70672 = 2⁴ × 7¹ × 631¹

Step-3: Factors of 70665

List of positive integer factors of 70665 that divides 70665 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 673, 2019, 3365, 4711, 10095, 14133, 23555

Step-4: Factors of 70672

List of positive integer factors of 70672 that divides 70665 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 631, 1262, 2524, 4417, 5048, 8834, 10096, 17668, 35336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70665 and 70672. The biggest common factor number is the GCF number.
So the greatest common factor 70665 and 70672 is 7.

Also check out the Least Common Multiple of 70665 and 70672