What is the Greatest Common Factor of 65642 and 65658?
Greatest common factor (GCF) of 65642 and 65658 is 2.
GCF(65642,65658) = 2
We will now calculate the prime factors of 65642 and 65658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65642 and 65658.
How to find the GCF of 65642 and 65658?
We will first find the prime factorization of 65642 and 65658. After we will calculate the factors of 65642 and 65658 and find the biggest common factor number .
Step-1: Prime Factorization of 65642
Prime factors of 65642 are 2, 23, 1427. Prime factorization of 65642 in exponential form is:
65642 = 21 × 231 × 14271
Step-2: Prime Factorization of 65658
Prime factors of 65658 are 2, 3, 31, 353. Prime factorization of 65658 in exponential form is:
65658 = 21 × 31 × 311 × 3531
Step-3: Factors of 65642
List of positive integer factors of 65642 that divides 65642 without a remainder.
1, 2, 23, 46, 1427, 2854, 32821
Step-4: Factors of 65658
List of positive integer factors of 65658 that divides 65642 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186, 353, 706, 1059, 2118, 10943, 21886, 32829
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65642 and 65658. The biggest common factor number is the GCF number.
So the greatest common factor 65642 and 65658 is 2.
Also check out the Least Common Multiple of 65642 and 65658
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