What is the Greatest Common Factor of 70420 and 70427?

Greatest common factor (GCF) of 70420 and 70427 is 7.

GCF(70420,70427) = 7

We will now calculate the prime factors of 70420 and 70427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70420 and 70427.

How to find the GCF of 70420 and 70427?

We will first find the prime factorization of 70420 and 70427. After we will calculate the factors of 70420 and 70427 and find the biggest common factor number .

Step-1: Prime Factorization of 70420

Prime factors of 70420 are 2, 5, 7, 503. Prime factorization of 70420 in exponential form is:

70420 = 2² × 5¹ × 7¹ × 503¹

Step-2: Prime Factorization of 70427

Prime factors of 70427 are 7, 10061. Prime factorization of 70427 in exponential form is:

70427 = 7¹ × 10061¹

Step-3: Factors of 70420

List of positive integer factors of 70420 that divides 70420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 503, 1006, 2012, 2515, 3521, 5030, 7042, 10060, 14084, 17605, 35210

Step-4: Factors of 70427

List of positive integer factors of 70427 that divides 70420 without a remainder.

1, 7, 10061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70420 and 70427. The biggest common factor number is the GCF number.
So the greatest common factor 70420 and 70427 is 7.

Also check out the Least Common Multiple of 70420 and 70427