What is the Greatest Common Factor of 75623 and 75642?

Greatest common factor (GCF) of 75623 and 75642 is 1.

GCF(75623,75642) = 1

We will now calculate the prime factors of 75623 and 75642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75623 and 75642.

How to find the GCF of 75623 and 75642?

We will first find the prime factorization of 75623 and 75642. After we will calculate the factors of 75623 and 75642 and find the biggest common factor number .

Step-1: Prime Factorization of 75623

Prime factors of 75623 are 47, 1609. Prime factorization of 75623 in exponential form is:

75623 = 47¹ × 1609¹

Step-2: Prime Factorization of 75642

Prime factors of 75642 are 2, 3, 7, 1801. Prime factorization of 75642 in exponential form is:

75642 = 2¹ × 3¹ × 7¹ × 1801¹

Step-3: Factors of 75623

List of positive integer factors of 75623 that divides 75623 without a remainder.

1, 47, 1609

Step-4: Factors of 75642

List of positive integer factors of 75642 that divides 75623 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1801, 3602, 5403, 10806, 12607, 25214, 37821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75623 and 75642. The biggest common factor number is the GCF number.
So the greatest common factor 75623 and 75642 is 1.

Also check out the Least Common Multiple of 75623 and 75642