What is the Greatest Common Factor of 70672 and 70692?

Greatest common factor (GCF) of 70672 and 70692 is 4.

GCF(70672,70692) = 4

We will now calculate the prime factors of 70672 and 70692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70672 and 70692.

How to find the GCF of 70672 and 70692?

We will first find the prime factorization of 70672 and 70692. After we will calculate the factors of 70672 and 70692 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70692

Prime factors of 70692 are 2, 3, 43, 137. Prime factorization of 70692 in exponential form is:

70692 = 2² × 3¹ × 43¹ × 137¹

Step-3: Factors of 70672

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

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

Step-4: Factors of 70692

List of positive integer factors of 70692 that divides 70672 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 137, 172, 258, 274, 411, 516, 548, 822, 1644, 5891, 11782, 17673, 23564, 35346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70672 and 70692. The biggest common factor number is the GCF number.
So the greatest common factor 70672 and 70692 is 4.

Also check out the Least Common Multiple of 70672 and 70692