What is the Greatest Common Factor of 71953 and 71965?

Greatest common factor (GCF) of 71953 and 71965 is 1.

GCF(71953,71965) = 1

We will now calculate the prime factors of 71953 and 71965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71953 and 71965.

How to find the GCF of 71953 and 71965?

We will first find the prime factorization of 71953 and 71965. After we will calculate the factors of 71953 and 71965 and find the biggest common factor number .

Step-1: Prime Factorization of 71953

Prime factors of 71953 are 7, 19, 541. Prime factorization of 71953 in exponential form is:

71953 = 7¹ × 19¹ × 541¹

Step-2: Prime Factorization of 71965

Prime factors of 71965 are 5, 37, 389. Prime factorization of 71965 in exponential form is:

71965 = 5¹ × 37¹ × 389¹

Step-3: Factors of 71953

List of positive integer factors of 71953 that divides 71953 without a remainder.

1, 7, 19, 133, 541, 3787, 10279

Step-4: Factors of 71965

List of positive integer factors of 71965 that divides 71953 without a remainder.

1, 5, 37, 185, 389, 1945, 14393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71953 and 71965. The biggest common factor number is the GCF number.
So the greatest common factor 71953 and 71965 is 1.

Also check out the Least Common Multiple of 71953 and 71965