What is the Greatest Common Factor of 84680 and 84692?

Greatest common factor (GCF) of 84680 and 84692 is 4.

GCF(84680,84692) = 4

We will now calculate the prime factors of 84680 and 84692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84680 and 84692.

How to find the GCF of 84680 and 84692?

We will first find the prime factorization of 84680 and 84692. After we will calculate the factors of 84680 and 84692 and find the biggest common factor number .

Step-1: Prime Factorization of 84680

Prime factors of 84680 are 2, 5, 29, 73. Prime factorization of 84680 in exponential form is:

84680 = 2³ × 5¹ × 29¹ × 73¹

Step-2: Prime Factorization of 84692

Prime factors of 84692 are 2, 31, 683. Prime factorization of 84692 in exponential form is:

84692 = 2² × 31¹ × 683¹

Step-3: Factors of 84680

List of positive integer factors of 84680 that divides 84680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 73, 116, 145, 146, 232, 290, 292, 365, 580, 584, 730, 1160, 1460, 2117, 2920, 4234, 8468, 10585, 16936, 21170, 42340

Step-4: Factors of 84692

List of positive integer factors of 84692 that divides 84680 without a remainder.

1, 2, 4, 31, 62, 124, 683, 1366, 2732, 21173, 42346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84680 and 84692. The biggest common factor number is the GCF number.
So the greatest common factor 84680 and 84692 is 4.

Also check out the Least Common Multiple of 84680 and 84692