What is the Greatest Common Factor of 70692 and 70711?

Greatest common factor (GCF) of 70692 and 70711 is 1.

GCF(70692,70711) = 1

We will now calculate the prime factors of 70692 and 70711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70692 and 70711.

How to find the GCF of 70692 and 70711?

We will first find the prime factorization of 70692 and 70711. After we will calculate the factors of 70692 and 70711 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 70711

Prime factors of 70711 are 31, 2281. Prime factorization of 70711 in exponential form is:

70711 = 31¹ × 2281¹

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 70711

List of positive integer factors of 70711 that divides 70692 without a remainder.

1, 31, 2281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70692 and 70711. The biggest common factor number is the GCF number.
So the greatest common factor 70692 and 70711 is 1.

Also check out the Least Common Multiple of 70692 and 70711