What is the Greatest Common Factor of 56420 and 56435?

Greatest common factor (GCF) of 56420 and 56435 is 5.

GCF(56420,56435) = 5

We will now calculate the prime factors of 56420 and 56435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56420 and 56435.

How to find the GCF of 56420 and 56435?

We will first find the prime factorization of 56420 and 56435. After we will calculate the factors of 56420 and 56435 and find the biggest common factor number .

Step-1: Prime Factorization of 56420

Prime factors of 56420 are 2, 5, 7, 13, 31. Prime factorization of 56420 in exponential form is:

56420 = 2² × 5¹ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 56435

Prime factors of 56435 are 5, 11287. Prime factorization of 56435 in exponential form is:

56435 = 5¹ × 11287¹

Step-3: Factors of 56420

List of positive integer factors of 56420 that divides 56420 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 31, 35, 52, 62, 65, 70, 91, 124, 130, 140, 155, 182, 217, 260, 310, 364, 403, 434, 455, 620, 806, 868, 910, 1085, 1612, 1820, 2015, 2170, 2821, 4030, 4340, 5642, 8060, 11284, 14105, 28210

Step-4: Factors of 56435

List of positive integer factors of 56435 that divides 56420 without a remainder.

1, 5, 11287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56420 and 56435. The biggest common factor number is the GCF number.
So the greatest common factor 56420 and 56435 is 5.

Also check out the Least Common Multiple of 56420 and 56435