What is the Greatest Common Factor of 84626 and 84632?

Greatest common factor (GCF) of 84626 and 84632 is 2.

GCF(84626,84632) = 2

We will now calculate the prime factors of 84626 and 84632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84626 and 84632.

How to find the GCF of 84626 and 84632?

We will first find the prime factorization of 84626 and 84632. After we will calculate the factors of 84626 and 84632 and find the biggest common factor number .

Step-1: Prime Factorization of 84626

Prime factors of 84626 are 2, 17, 19, 131. Prime factorization of 84626 in exponential form is:

84626 = 2¹ × 17¹ × 19¹ × 131¹

Step-2: Prime Factorization of 84632

Prime factors of 84632 are 2, 71, 149. Prime factorization of 84632 in exponential form is:

84632 = 2³ × 71¹ × 149¹

Step-3: Factors of 84626

List of positive integer factors of 84626 that divides 84626 without a remainder.

1, 2, 17, 19, 34, 38, 131, 262, 323, 646, 2227, 2489, 4454, 4978, 42313

Step-4: Factors of 84632

List of positive integer factors of 84632 that divides 84626 without a remainder.

1, 2, 4, 8, 71, 142, 149, 284, 298, 568, 596, 1192, 10579, 21158, 42316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84626 and 84632. The biggest common factor number is the GCF number.
So the greatest common factor 84626 and 84632 is 2.

Also check out the Least Common Multiple of 84626 and 84632