What is the Greatest Common Factor of 70428 and 70432?

Greatest common factor (GCF) of 70428 and 70432 is 4.

GCF(70428,70432) = 4

We will now calculate the prime factors of 70428 and 70432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70428 and 70432.

How to find the GCF of 70428 and 70432?

We will first find the prime factorization of 70428 and 70432. After we will calculate the factors of 70428 and 70432 and find the biggest common factor number .

Step-1: Prime Factorization of 70428

Prime factors of 70428 are 2, 3, 5869. Prime factorization of 70428 in exponential form is:

70428 = 2² × 3¹ × 5869¹

Step-2: Prime Factorization of 70432

Prime factors of 70432 are 2, 31, 71. Prime factorization of 70432 in exponential form is:

70432 = 2⁵ × 31¹ × 71¹

Step-3: Factors of 70428

List of positive integer factors of 70428 that divides 70428 without a remainder.

1, 2, 3, 4, 6, 12, 5869, 11738, 17607, 23476, 35214

Step-4: Factors of 70432

List of positive integer factors of 70432 that divides 70428 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 71, 124, 142, 248, 284, 496, 568, 992, 1136, 2201, 2272, 4402, 8804, 17608, 35216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70428 and 70432. The biggest common factor number is the GCF number.
So the greatest common factor 70428 and 70432 is 4.

Also check out the Least Common Multiple of 70428 and 70432