What is the Greatest Common Factor of 84724 and 84740?

Greatest common factor (GCF) of 84724 and 84740 is 4.

GCF(84724,84740) = 4

We will now calculate the prime factors of 84724 and 84740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84724 and 84740.

How to find the GCF of 84724 and 84740?

We will first find the prime factorization of 84724 and 84740. After we will calculate the factors of 84724 and 84740 and find the biggest common factor number .

Step-1: Prime Factorization of 84724

Prime factors of 84724 are 2, 59, 359. Prime factorization of 84724 in exponential form is:

84724 = 2² × 59¹ × 359¹

Step-2: Prime Factorization of 84740

Prime factors of 84740 are 2, 5, 19, 223. Prime factorization of 84740 in exponential form is:

84740 = 2² × 5¹ × 19¹ × 223¹

Step-3: Factors of 84724

List of positive integer factors of 84724 that divides 84724 without a remainder.

1, 2, 4, 59, 118, 236, 359, 718, 1436, 21181, 42362

Step-4: Factors of 84740

List of positive integer factors of 84740 that divides 84724 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 223, 380, 446, 892, 1115, 2230, 4237, 4460, 8474, 16948, 21185, 42370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84724 and 84740. The biggest common factor number is the GCF number.
So the greatest common factor 84724 and 84740 is 4.

Also check out the Least Common Multiple of 84724 and 84740