What is the Greatest Common Factor of 84354 and 84370?

Greatest common factor (GCF) of 84354 and 84370 is 2.

GCF(84354,84370) = 2

We will now calculate the prime factors of 84354 and 84370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84354 and 84370.

How to find the GCF of 84354 and 84370?

We will first find the prime factorization of 84354 and 84370. After we will calculate the factors of 84354 and 84370 and find the biggest common factor number .

Step-1: Prime Factorization of 84354

Prime factors of 84354 are 2, 3, 17, 827. Prime factorization of 84354 in exponential form is:

84354 = 2¹ × 3¹ × 17¹ × 827¹

Step-2: Prime Factorization of 84370

Prime factors of 84370 are 2, 5, 11, 13, 59. Prime factorization of 84370 in exponential form is:

84370 = 2¹ × 5¹ × 11¹ × 13¹ × 59¹

Step-3: Factors of 84354

List of positive integer factors of 84354 that divides 84354 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 827, 1654, 2481, 4962, 14059, 28118, 42177

Step-4: Factors of 84370

List of positive integer factors of 84370 that divides 84354 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 59, 65, 110, 118, 130, 143, 286, 295, 590, 649, 715, 767, 1298, 1430, 1534, 3245, 3835, 6490, 7670, 8437, 16874, 42185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84354 and 84370. The biggest common factor number is the GCF number.
So the greatest common factor 84354 and 84370 is 2.

Also check out the Least Common Multiple of 84354 and 84370