What is the Greatest Common Factor of 70692 and 70701?

Greatest common factor (GCF) of 70692 and 70701 is 3.

GCF(70692,70701) = 3

We will now calculate the prime factors of 70692 and 70701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70692 and 70701.

How to find the GCF of 70692 and 70701?

We will first find the prime factorization of 70692 and 70701. After we will calculate the factors of 70692 and 70701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70701

Prime factors of 70701 are 3, 23567. Prime factorization of 70701 in exponential form is:

70701 = 3¹ × 23567¹

Step-3: Factors of 70692

List of positive integer factors of 70692 that divides 70692 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

Step-4: Factors of 70701

List of positive integer factors of 70701 that divides 70692 without a remainder.

1, 3, 23567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70692 and 70701. The biggest common factor number is the GCF number.
So the greatest common factor 70692 and 70701 is 3.

Also check out the Least Common Multiple of 70692 and 70701