What is the Greatest Common Factor of 70400 and 70420?

Greatest common factor (GCF) of 70400 and 70420 is 20.

GCF(70400,70420) = 20

We will now calculate the prime factors of 70400 and 70420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70400 and 70420.

How to find the GCF of 70400 and 70420?

We will first find the prime factorization of 70400 and 70420. After we will calculate the factors of 70400 and 70420 and find the biggest common factor number .

Step-1: Prime Factorization of 70400

Prime factors of 70400 are 2, 5, 11. Prime factorization of 70400 in exponential form is:

70400 = 2⁸ × 5² × 11¹

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 70400

List of positive integer factors of 70400 that divides 70400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 128, 160, 176, 200, 220, 256, 275, 320, 352, 400, 440, 550, 640, 704, 800, 880, 1100, 1280, 1408, 1600, 1760, 2200, 2816, 3200, 3520, 4400, 6400, 7040, 8800, 14080, 17600, 35200

Step-4: Factors of 70420

List of positive integer factors of 70420 that divides 70400 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 70400 and 70420. The biggest common factor number is the GCF number.
So the greatest common factor 70400 and 70420 is 20.

Also check out the Least Common Multiple of 70400 and 70420