What is the Greatest Common Factor of 71525 and 71534?

Greatest common factor (GCF) of 71525 and 71534 is 1.

GCF(71525,71534) = 1

We will now calculate the prime factors of 71525 and 71534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71525 and 71534.

How to find the GCF of 71525 and 71534?

We will first find the prime factorization of 71525 and 71534. After we will calculate the factors of 71525 and 71534 and find the biggest common factor number .

Step-1: Prime Factorization of 71525

Prime factors of 71525 are 5, 2861. Prime factorization of 71525 in exponential form is:

71525 = 5² × 2861¹

Step-2: Prime Factorization of 71534

Prime factors of 71534 are 2, 47, 761. Prime factorization of 71534 in exponential form is:

71534 = 2¹ × 47¹ × 761¹

Step-3: Factors of 71525

List of positive integer factors of 71525 that divides 71525 without a remainder.

1, 5, 25, 2861, 14305

Step-4: Factors of 71534

List of positive integer factors of 71534 that divides 71525 without a remainder.

1, 2, 47, 94, 761, 1522, 35767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71525 and 71534. The biggest common factor number is the GCF number.
So the greatest common factor 71525 and 71534 is 1.

Also check out the Least Common Multiple of 71525 and 71534