What is the Greatest Common Factor of 59639 and 59652?
Greatest common factor (GCF) of 59639 and 59652 is 1.
GCF(59639,59652) = 1
We will now calculate the prime factors of 59639 and 59652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59639 and 59652.
How to find the GCF of 59639 and 59652?
We will first find the prime factorization of 59639 and 59652. After we will calculate the factors of 59639 and 59652 and find the biggest common factor number .
Step-1: Prime Factorization of 59639
Prime factors of 59639 are 23, 2593. Prime factorization of 59639 in exponential form is:
59639 = 231 × 25931
Step-2: Prime Factorization of 59652
Prime factors of 59652 are 2, 3, 1657. Prime factorization of 59652 in exponential form is:
59652 = 22 × 32 × 16571
Step-3: Factors of 59639
List of positive integer factors of 59639 that divides 59639 without a remainder.
1, 23, 2593
Step-4: Factors of 59652
List of positive integer factors of 59652 that divides 59639 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 1657, 3314, 4971, 6628, 9942, 14913, 19884, 29826
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59639 and 59652. The biggest common factor number is the GCF number.
So the greatest common factor 59639 and 59652 is 1.
Also check out the Least Common Multiple of 59639 and 59652
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