What is the Greatest Common Factor of 70356 and 70360?

Greatest common factor (GCF) of 70356 and 70360 is 4.

GCF(70356,70360) = 4

We will now calculate the prime factors of 70356 and 70360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70356 and 70360.

How to find the GCF of 70356 and 70360?

We will first find the prime factorization of 70356 and 70360. After we will calculate the factors of 70356 and 70360 and find the biggest common factor number .

Step-1: Prime Factorization of 70356

Prime factors of 70356 are 2, 3, 11, 13, 41. Prime factorization of 70356 in exponential form is:

70356 = 2² × 3¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 70360

Prime factors of 70360 are 2, 5, 1759. Prime factorization of 70360 in exponential form is:

70360 = 2³ × 5¹ × 1759¹

Step-3: Factors of 70356

List of positive integer factors of 70356 that divides 70356 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 41, 44, 52, 66, 78, 82, 123, 132, 143, 156, 164, 246, 286, 429, 451, 492, 533, 572, 858, 902, 1066, 1353, 1599, 1716, 1804, 2132, 2706, 3198, 5412, 5863, 6396, 11726, 17589, 23452, 35178

Step-4: Factors of 70360

List of positive integer factors of 70360 that divides 70356 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1759, 3518, 7036, 8795, 14072, 17590, 35180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70356 and 70360. The biggest common factor number is the GCF number.
So the greatest common factor 70356 and 70360 is 4.

Also check out the Least Common Multiple of 70356 and 70360