What is the Greatest Common Factor of 70413 and 70420?

Greatest common factor (GCF) of 70413 and 70420 is 7.

GCF(70413,70420) = 7

We will now calculate the prime factors of 70413 and 70420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70413 and 70420.

How to find the GCF of 70413 and 70420?

We will first find the prime factorization of 70413 and 70420. After we will calculate the factors of 70413 and 70420 and find the biggest common factor number .

Step-1: Prime Factorization of 70413

Prime factors of 70413 are 3, 7, 479. Prime factorization of 70413 in exponential form is:

70413 = 3¹ × 7² × 479¹

Step-2: 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-3: Factors of 70413

List of positive integer factors of 70413 that divides 70413 without a remainder.

1, 3, 7, 21, 49, 147, 479, 1437, 3353, 10059, 23471

Step-4: Factors of 70420

List of positive integer factors of 70420 that divides 70413 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70413 and 70420. The biggest common factor number is the GCF number.
So the greatest common factor 70413 and 70420 is 7.

Also check out the Least Common Multiple of 70413 and 70420