What is the Greatest Common Factor of 62604 and 62608?
Greatest common factor (GCF) of 62604 and 62608 is 4.
GCF(62604,62608) = 4
We will now calculate the prime factors of 62604 and 62608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62604 and 62608.
How to find the GCF of 62604 and 62608?
We will first find the prime factorization of 62604 and 62608. After we will calculate the factors of 62604 and 62608 and find the biggest common factor number .
Step-1: Prime Factorization of 62604
Prime factors of 62604 are 2, 3, 37, 47. Prime factorization of 62604 in exponential form is:
62604 = 22 × 32 × 371 × 471
Step-2: Prime Factorization of 62608
Prime factors of 62608 are 2, 7, 13, 43. Prime factorization of 62608 in exponential form is:
62608 = 24 × 71 × 131 × 431
Step-3: Factors of 62604
List of positive integer factors of 62604 that divides 62604 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 333, 423, 444, 564, 666, 846, 1332, 1692, 1739, 3478, 5217, 6956, 10434, 15651, 20868, 31302
Step-4: Factors of 62608
List of positive integer factors of 62608 that divides 62604 without a remainder.
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 43, 52, 56, 86, 91, 104, 112, 172, 182, 208, 301, 344, 364, 559, 602, 688, 728, 1118, 1204, 1456, 2236, 2408, 3913, 4472, 4816, 7826, 8944, 15652, 31304
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 62604 and 62608. The biggest common factor number is the GCF number.
So the greatest common factor 62604 and 62608 is 4.
Also check out the Least Common Multiple of 62604 and 62608
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