What is the Greatest Common Factor of 88049 and 88062?

Greatest common factor (GCF) of 88049 and 88062 is 13.

GCF(88049,88062) = 13

We will now calculate the prime factors of 88049 and 88062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88049 and 88062.

How to find the GCF of 88049 and 88062?

We will first find the prime factorization of 88049 and 88062. After we will calculate the factors of 88049 and 88062 and find the biggest common factor number .

Step-1: Prime Factorization of 88049

Prime factors of 88049 are 13, 521. Prime factorization of 88049 in exponential form is:

88049 = 13² × 521¹

Step-2: Prime Factorization of 88062

Prime factors of 88062 are 2, 3, 13, 1129. Prime factorization of 88062 in exponential form is:

88062 = 2¹ × 3¹ × 13¹ × 1129¹

Step-3: Factors of 88049

List of positive integer factors of 88049 that divides 88049 without a remainder.

1, 13, 169, 521, 6773

Step-4: Factors of 88062

List of positive integer factors of 88062 that divides 88049 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1129, 2258, 3387, 6774, 14677, 29354, 44031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88049 and 88062. The biggest common factor number is the GCF number.
So the greatest common factor 88049 and 88062 is 13.

Also check out the Least Common Multiple of 88049 and 88062