What is the Greatest Common Factor of 99953 and 99967?

Greatest common factor (GCF) of 99953 and 99967 is 7.

GCF(99953,99967) = 7

We will now calculate the prime factors of 99953 and 99967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99953 and 99967.

How to find the GCF of 99953 and 99967?

We will first find the prime factorization of 99953 and 99967. After we will calculate the factors of 99953 and 99967 and find the biggest common factor number .

Step-1: Prime Factorization of 99953

Prime factors of 99953 are 7, 109, 131. Prime factorization of 99953 in exponential form is:

99953 = 7¹ × 109¹ × 131¹

Step-2: Prime Factorization of 99967

Prime factors of 99967 are 7, 14281. Prime factorization of 99967 in exponential form is:

99967 = 7¹ × 14281¹

Step-3: Factors of 99953

List of positive integer factors of 99953 that divides 99953 without a remainder.

1, 7, 109, 131, 763, 917, 14279

Step-4: Factors of 99967

List of positive integer factors of 99967 that divides 99953 without a remainder.

1, 7, 14281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99953 and 99967. The biggest common factor number is the GCF number.
So the greatest common factor 99953 and 99967 is 7.

Also check out the Least Common Multiple of 99953 and 99967