What is the Greatest Common Factor of 70420 and 70440?

Greatest common factor (GCF) of 70420 and 70440 is 20.

GCF(70420,70440) = 20

We will now calculate the prime factors of 70420 and 70440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70420 and 70440.

How to find the GCF of 70420 and 70440?

We will first find the prime factorization of 70420 and 70440. After we will calculate the factors of 70420 and 70440 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 70440

Prime factors of 70440 are 2, 3, 5, 587. Prime factorization of 70440 in exponential form is:

70440 = 2³ × 3¹ × 5¹ × 587¹

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 70440

List of positive integer factors of 70440 that divides 70420 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 587, 1174, 1761, 2348, 2935, 3522, 4696, 5870, 7044, 8805, 11740, 14088, 17610, 23480, 35220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70420 and 70440. The biggest common factor number is the GCF number.
So the greatest common factor 70420 and 70440 is 20.

Also check out the Least Common Multiple of 70420 and 70440