What is the Greatest Common Factor of 69963 and 69967?

Greatest common factor (GCF) of 69963 and 69967 is 1.

GCF(69963,69967) = 1

We will now calculate the prime factors of 69963 and 69967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69963 and 69967.

How to find the GCF of 69963 and 69967?

We will first find the prime factorization of 69963 and 69967. After we will calculate the factors of 69963 and 69967 and find the biggest common factor number .

Step-1: Prime Factorization of 69963

Prime factors of 69963 are 3, 23321. Prime factorization of 69963 in exponential form is:

69963 = 3¹ × 23321¹

Step-2: Prime Factorization of 69967

Prime factors of 69967 are 31, 37, 61. Prime factorization of 69967 in exponential form is:

69967 = 31¹ × 37¹ × 61¹

Step-3: Factors of 69963

List of positive integer factors of 69963 that divides 69963 without a remainder.

1, 3, 23321

Step-4: Factors of 69967

List of positive integer factors of 69967 that divides 69963 without a remainder.

1, 31, 37, 61, 1147, 1891, 2257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69963 and 69967. The biggest common factor number is the GCF number.
So the greatest common factor 69963 and 69967 is 1.

Also check out the Least Common Multiple of 69963 and 69967