What is the Greatest Common Factor of 54626 and 54642?
Greatest common factor (GCF) of 54626 and 54642 is 2.
GCF(54626,54642) = 2
We will now calculate the prime factors of 54626 and 54642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54626 and 54642.
How to find the GCF of 54626 and 54642?
We will first find the prime factorization of 54626 and 54642. After we will calculate the factors of 54626 and 54642 and find the biggest common factor number .
Step-1: Prime Factorization of 54626
Prime factors of 54626 are 2, 11, 13, 191. Prime factorization of 54626 in exponential form is:
54626 = 21 × 111 × 131 × 1911
Step-2: Prime Factorization of 54642
Prime factors of 54642 are 2, 3, 7, 1301. Prime factorization of 54642 in exponential form is:
54642 = 21 × 31 × 71 × 13011
Step-3: Factors of 54626
List of positive integer factors of 54626 that divides 54626 without a remainder.
1, 2, 11, 13, 22, 26, 143, 191, 286, 382, 2101, 2483, 4202, 4966, 27313
Step-4: Factors of 54642
List of positive integer factors of 54642 that divides 54626 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54626 and 54642. The biggest common factor number is the GCF number.
So the greatest common factor 54626 and 54642 is 2.
Also check out the Least Common Multiple of 54626 and 54642
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Related Greatest Common Factors of 54642
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