What is the Greatest Common Factor of 70476 and 70484?

Greatest common factor (GCF) of 70476 and 70484 is 4.

GCF(70476,70484) = 4

We will now calculate the prime factors of 70476 and 70484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70476 and 70484.

How to find the GCF of 70476 and 70484?

We will first find the prime factorization of 70476 and 70484. After we will calculate the factors of 70476 and 70484 and find the biggest common factor number .

Step-1: Prime Factorization of 70476

Prime factors of 70476 are 2, 3, 7, 839. Prime factorization of 70476 in exponential form is:

70476 = 2² × 3¹ × 7¹ × 839¹

Step-2: Prime Factorization of 70484

Prime factors of 70484 are 2, 67, 263. Prime factorization of 70484 in exponential form is:

70484 = 2² × 67¹ × 263¹

Step-3: Factors of 70476

List of positive integer factors of 70476 that divides 70476 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 839, 1678, 2517, 3356, 5034, 5873, 10068, 11746, 17619, 23492, 35238

Step-4: Factors of 70484

List of positive integer factors of 70484 that divides 70476 without a remainder.

1, 2, 4, 67, 134, 263, 268, 526, 1052, 17621, 35242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70476 and 70484. The biggest common factor number is the GCF number.
So the greatest common factor 70476 and 70484 is 4.

Also check out the Least Common Multiple of 70476 and 70484