What is the Greatest Common Factor of 62624 and 62643?

Greatest common factor (GCF) of 62624 and 62643 is 19.

GCF(62624,62643) = 19

We will now calculate the prime factors of 62624 and 62643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62624 and 62643.

How to find the GCF of 62624 and 62643?

We will first find the prime factorization of 62624 and 62643. After we will calculate the factors of 62624 and 62643 and find the biggest common factor number .

Step-1: Prime Factorization of 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

Step-2: Prime Factorization of 62643

Prime factors of 62643 are 3, 7, 19, 157. Prime factorization of 62643 in exponential form is:

62643 = 3¹ × 7¹ × 19¹ × 157¹

Step-3: Factors of 62624

List of positive integer factors of 62624 that divides 62624 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Step-4: Factors of 62643

List of positive integer factors of 62643 that divides 62624 without a remainder.

1, 3, 7, 19, 21, 57, 133, 157, 399, 471, 1099, 2983, 3297, 8949, 20881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62624 and 62643. The biggest common factor number is the GCF number.
So the greatest common factor 62624 and 62643 is 19.

Also check out the Least Common Multiple of 62624 and 62643