What is the Greatest Common Factor of 84700 and 84708?

Greatest common factor (GCF) of 84700 and 84708 is 4.

GCF(84700,84708) = 4

We will now calculate the prime factors of 84700 and 84708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84700 and 84708.

How to find the GCF of 84700 and 84708?

We will first find the prime factorization of 84700 and 84708. After we will calculate the factors of 84700 and 84708 and find the biggest common factor number .

Step-1: Prime Factorization of 84700

Prime factors of 84700 are 2, 5, 7, 11. Prime factorization of 84700 in exponential form is:

84700 = 2² × 5² × 7¹ × 11²

Step-2: Prime Factorization of 84708

Prime factors of 84708 are 2, 3, 13, 181. Prime factorization of 84708 in exponential form is:

84708 = 2² × 3² × 13¹ × 181¹

Step-3: Factors of 84700

List of positive integer factors of 84700 that divides 84700 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 121, 140, 154, 175, 220, 242, 275, 308, 350, 385, 484, 550, 605, 700, 770, 847, 1100, 1210, 1540, 1694, 1925, 2420, 3025, 3388, 3850, 4235, 6050, 7700, 8470, 12100, 16940, 21175, 42350

Step-4: Factors of 84708

List of positive integer factors of 84708 that divides 84700 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 181, 234, 362, 468, 543, 724, 1086, 1629, 2172, 2353, 3258, 4706, 6516, 7059, 9412, 14118, 21177, 28236, 42354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84700 and 84708. The biggest common factor number is the GCF number.
So the greatest common factor 84700 and 84708 is 4.

Also check out the Least Common Multiple of 84700 and 84708