What is the Greatest Common Factor of 62992 and 63008?

Greatest common factor (GCF) of 62992 and 63008 is 16.

GCF(62992,63008) = 16

We will now calculate the prime factors of 62992 and 63008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62992 and 63008.

How to find the GCF of 62992 and 63008?

We will first find the prime factorization of 62992 and 63008. After we will calculate the factors of 62992 and 63008 and find the biggest common factor number .

Step-1: Prime Factorization of 62992

Prime factors of 62992 are 2, 31, 127. Prime factorization of 62992 in exponential form is:

62992 = 2⁴ × 31¹ × 127¹

Step-2: Prime Factorization of 63008

Prime factors of 63008 are 2, 11, 179. Prime factorization of 63008 in exponential form is:

63008 = 2⁵ × 11¹ × 179¹

Step-3: Factors of 62992

List of positive integer factors of 62992 that divides 62992 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 127, 248, 254, 496, 508, 1016, 2032, 3937, 7874, 15748, 31496

Step-4: Factors of 63008

List of positive integer factors of 63008 that divides 62992 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 179, 352, 358, 716, 1432, 1969, 2864, 3938, 5728, 7876, 15752, 31504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62992 and 63008. The biggest common factor number is the GCF number.
So the greatest common factor 62992 and 63008 is 16.

Also check out the Least Common Multiple of 62992 and 63008