What is the Greatest Common Factor of 70692 and 70699?

Greatest common factor (GCF) of 70692 and 70699 is 1.

GCF(70692,70699) = 1

We will now calculate the prime factors of 70692 and 70699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70692 and 70699.

How to find the GCF of 70692 and 70699?

We will first find the prime factorization of 70692 and 70699. After we will calculate the factors of 70692 and 70699 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 70699

Prime factors of 70699 are 19, 61. Prime factorization of 70699 in exponential form is:

70699 = 19¹ × 61²

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 70699

List of positive integer factors of 70699 that divides 70692 without a remainder.

1, 19, 61, 1159, 3721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70692 and 70699. The biggest common factor number is the GCF number.
So the greatest common factor 70692 and 70699 is 1.

Also check out the Least Common Multiple of 70692 and 70699